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Electrostatic Potential and Capacitance EXERCISES Solutions
- Q2.1: Two charges $5 \times 10^{-8}$ C and $-3 \times 10^{-8}$ C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
- Q2.1: Two charges ((5 \times 10^{-8})) C and ((-3 \times 10^{-8})) C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
- Q2.10: A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?
- Q2.10: A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?
- Q2.11: A 600pF capacitor is charged by a 200V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?
- Q2.11: A 600pF capacitor is charged by a 200V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?
- Q2.2: A regular hexagon of side 10 cm has a charge ((5 \mu C)) at each of its vertices. Calculate the potential at the centre of the hexagon.
- Q2.2: A regular hexagon of side 10 cm has a charge $5 \mu$C at each of its vertices. Calculate the potential at the centre of the hexagon.
- Q2.3(a): Two charges ((2 \mu C)) and ((-2 \mu C)) are placed at points A and B 6 cm apart. Identify an equipotential surface of the system.
- Q2.3(a): Two charges $2 \mu$C and $-2 \mu$C are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system.
- Q2.3(b): Two charges ((2 \mu C)) and ((-2 \mu C)) are placed at points A and B 6 cm apart. What is the direction of the electric field at every point on this surface?
- Q2.3(b): Two charges $2 \mu$C and $-2 \mu$C are placed at points A and B 6 cm apart. (b) What is the direction of the electric field at every point on this surface?
- Q2.4(a): A spherical conductor of radius 12 cm has a charge of $1.6 \times 10^{-7}$C distributed uniformly on its surface. What is the electric field (a) inside the sphere
- Q2.4(a): A spherical conductor of radius 12 cm has a charge of ((1.6 \times 10^{-7}))C distributed uniformly on its surface. What is the electric field inside the sphere
- Q2.4(b): A spherical conductor of radius 12 cm has a charge of $1.6 \times 10^{-7}$C distributed uniformly on its surface. What is the electric field (b) just outside the sphere
- Q2.4(b): A spherical conductor of radius 12 cm has a charge of ((1.6 \times 10^{-7}))C distributed uniformly on its surface. What is the electric field just outside the sphere
- Q2.4(c): A spherical conductor of radius 12 cm has a charge of $1.6 \times 10^{-7}$C distributed uniformly on its surface. What is the electric field (c) at a point 18 cm from the centre of the sphere?
- Q2.4(c): A spherical conductor of radius 12 cm has a charge of ((1.6 \times 10^{-7}))C distributed uniformly on its surface. What is the electric field at a point 18 cm from the centre of the sphere?
- Q2.5: A parallel plate capacitor with air between the plates has a capacitance of 8 pF ($1$pF = $10^{-12}$ F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
- Q2.5: A parallel plate capacitor with air between the plates has a capacitance of 8 pF ((1pF = 10^{-12} F)). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
- Q2.6(a): Three capacitors each of capacitance 9 pF are connected in series. (a) What is the total capacitance of the combination?
- Q2.6(a): Three capacitors each of capacitance 9 pF are connected in series. What is the total capacitance of the combination?
- Q2.6(b): Three capacitors each of capacitance 9 pF are connected in series. (b) What is the potential difference across each capacitor if the combination is connected to a 120 V supply?
- Q2.6(b): Three capacitors each of capacitance 9 pF are connected in series. What is the potential difference across each capacitor if the combination is connected to a 120 V supply?
- Q2.7(a): Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. (a) What is the total capacitance of the combination?
- Q2.7(a): Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. What is the total capacitance of the combination?
- Q2.7(b): Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. (b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.
- Q2.7(b): Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. Determine the charge on each capacitor if the combination is connected to a 100 V supply.
- Q2.8: In a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?
- Q2.8: In a parallel plate capacitor with air between the plates, each plate has an area of ((6 \times 10^{-3} m^{2})) and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?
- Q2.9(a): Explain what would happen if in the capacitor given in a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, (a) while the voltage supply remained connected.
- Q2.9(a): Explain what would happen if in the capacitor given, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, while the voltage supply remained connected.
- Q2.9(b): Explain what would happen if in the capacitor given in a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor? a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, (b) after the supply was disconnected.
- Q2.9(b): Explain what would happen if in the capacitor given, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, after the supply was disconnected.
Chapters in CBSE - Class 12 Physics
- Electric Charges and Fields
- Current Electricity
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Waves
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics
- Communication Systems
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